 | Euclides - 1842 - 316 pagina’s
...by twice the rectangle вc, CD. Therefore, in obtuseangled triangles, &c. QED PROP. XIII. THEOR. the sides containing that angle, by twice the rectangle...upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at в one of its acute angles, and upon в c, one of the sides... | |
 | James Bates Thomson - 1844 - 268 pagina’s
...subtending either of the acute angles, is less than the sum of the squares of the other two sides, by twice the rectangle contained by either of these...upon it from the opposite angle, and the acute angle. PROPOSITION XIII. THEOREM. In a triangle ABC, if the angle C is obtuse, the square of the opposite... | |
 | John Playfair - 1844 - 338 pagina’s
...triangle the square of the side subtending any of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle...sides, and the straight line intercepted between the perpendicular,let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle,... | |
 | Euclid - 1845 - 218 pagina’s
...triangle, the square of the side subtending any of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle...upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles ; and upon BC, one of the sides... | |
 | Euclides - 1845 - 546 pagina’s
...triangle, the square of the side subtending either of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Let ABC be any triangle,... | |
 | Euclides - 1846 - 292 pagina’s
...triangle, the square of the side subtending any of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle...upon it from the opposite angle and the acute angle, Let ABC be any triangle, and the angle at B one of its acute angles; and upon BC, one of the sides... | |
 | Euclid, John Playfair - 1846 - 334 pagina’s
...triangle the square of the side subtending any of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle...upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of the sides... | |
 | Great Britain. Admiralty - 1846 - 128 pagina’s
...triangle^ the square of the side sub-tending either of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle...upon it from the opposite angle, and the acute angle. Prop. 46. Prop. 39. Prop. is. P J, 47 Fig. 1. A BDC 1st. When GEOMETRY. Fig. 2. A Fig. 3. A BC D BC... | |
 | Great Britain. Admiralty - 1846 - 128 pagina’s
...than the squares of the sides containing that angle, by twice the rectangle contained by either oj these sides, and the straight line intercepted between...upon it from the opposite angle, and the acute angle. Let ^\ ABC have the acute L ABC, upon BC one of the sides containing it, draw AD J_ BC ; then AC 8... | |
 | 1847 - 508 pagina’s
...triangle the square of the side subtending either of the acute angles is less than the squares of the sides containing• that angle by twice the rectangle contained by either of those sides, aud the straight line intercepted between the acute angle and the perpendicular let fall... | |
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In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular... 
